Incompressible Navier-Stokes flows with time-dependent prescribed fluxes in domains with cylindrical outlets to infinity

DOI10.1007/s11565-014-0217-0zbMath1316.35231OpenAlexW1967876771MaRDI QIDQ2346305

Myong-Hwan Ri

Publication date: 1 June 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-014-0217-0

zbMATH Keywords

Navier-Stokes equationsexponential weightnonstationary Poiseuille flowinfinite cylindrical domainstime-dependent fluxes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (1)

On a non-stationary fluid flow problem in an infinite periodic pipe

Cites Work

• Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder
• Semigroups of linear operators and applications to partial differential equations
• The relation between flow rate and axial pressure gradient for time-periodic Poiseuille flow in a pipe
• Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral
• On the unsteady Poiseuille flow in a pipe
• The resolvent problem and \(H^\infty\)-calculus of the Stokes operator in unbounded cylinders with several exits to infinity
• Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Existence and exponential stability inLr-spaces of stationary Navier–Stokes flows with prescribed flux in infinite cylindrical domains
• Global solvability for a large flux of a three‐dimensional time‐dependent Navier–Stokes problem in a straight cylinder
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